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Finding the Fourth Proportional to 9,033.36, 13,547.22 and 3,188.61

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Solution

The fourth proportional to 9,033.36, 13,547.22 and 3,188.61 is: 4,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.36 : 13,547.22 = 3,188.61 : x
  2. Step 2: Convert to fraction form
    9,033.36/13,547.22 = 3,188.61/x
  3. Step 3: Cross multiply
    9,033.36x = 13,547.22 × 3,188.61
  4. Step 4: Simplify right side
    9,033.36x = 43,196,801.16
  5. Step 5: Solve for x
    x = 43,196,801.16/9,033.36
  6. Step 6: Final answer
    x = 4,781.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.